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412224444 = 223329131617
BaseRepresentation
bin11000100100100…
…000101110111100
31001201200011122000
4120210200232330
51321012140234
6104523222300
713133564352
oct3044405674
91051604560
10412224444
111a1765365
12b6077990
13675317b8
143ca677d2
15262ca899
hex18920bbc

412224444 has 48 divisors (see below), whose sum is σ = 1105591200. Its totient is φ = 132668928.

The previous prime is 412224433. The next prime is 412224493. The reversal of 412224444 is 444422214.

412224444 is a `hidden beast` number, since 412 + 2 + 244 + 4 + 4 = 666.

It is a super-2 number, since 2×4122244442 = 339857984462218272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62677 + ... + 68940.

It is an arithmetic number, because the mean of its divisors is an integer number (23033150).

Almost surely, 2412224444 is an apocalyptic number.

It is an amenable number.

412224444 is an abundant number, since it is smaller than the sum of its proper divisors (693366756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412224444 is a wasteful number, since it uses less digits than its factorization.

412224444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131659 (or 131651 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 412224444 is about 20303.3111585278. The cubic root of 412224444 is about 744.2369822597.

Adding to 412224444 its reverse (444422214), we get a palindrome (856646658).

The spelling of 412224444 in words is "four hundred twelve million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 131617 263234 394851 526468 789702 1184553 1579404 2369106 3553659 3816893 4738212 7107318 7633786 11450679 14214636 15267572 22901358 34352037 45802716 68704074 103056111 137408148 206112222 412224444